# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d7_vectsp13, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:((v7_vectsp_1(X3,X1)&l1_vectsp_1(X3,X1))=>(X3=k8_vectsp13(X1,X2)<=>(((u1_struct_0(X3)=k4_finseq_2(X2,u1_struct_0(X1))&u1_algstr_0(X3)=k6_vectsp13(X1,X2))&u2_struct_0(X3)=k5_finseq_2(u1_struct_0(X1),X2,k4_struct_0(X1)))&u1_vectsp_1(X1,X3)=k7_vectsp13(X1,X2)))))), file('vectsp13/vectsp13__l47_vectsp13', d7_vectsp13)).
fof(dt_k8_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(v7_vectsp_1(k8_vectsp13(X1,X2),X1)&l1_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__l47_vectsp13', dt_k8_vectsp13)).
fof(l47_vectsp13, conjecture, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m1_subset_1(X3,u1_struct_0(k8_vectsp13(X1,X2)))=>![X4]:(m1_subset_1(X4,u1_struct_0(k8_vectsp13(X1,X2)))=>![X5]:(m2_finseq_2(X5,u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))=>![X6]:(m2_finseq_2(X6,u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))=>((X3=X5&X4=X6)=>k4_fvsum_1(X2,X1,X5,X6)=k3_rlvect_1(k8_vectsp13(X1,X2),X3,X4)))))))), file('vectsp13/vectsp13__l47_vectsp13', l47_vectsp13)).
fof(fc4_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>((((v13_algstr_0(k8_vectsp13(X1,X2))&v2_rlvect_1(k8_vectsp13(X1,X2)))&v3_rlvect_1(k8_vectsp13(X1,X2)))&v4_rlvect_1(k8_vectsp13(X1,X2)))&v7_vectsp_1(k8_vectsp13(X1,X2),X1))), file('vectsp13/vectsp13__l47_vectsp13', fc4_vectsp13)).
fof(redefinition_k3_rlvect_1, axiom, ![X1, X2, X3]:((((v2_rlvect_1(X1)&l1_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_rlvect_1(X1,X2,X3)=k1_algstr_0(X1,X2,X3)), file('vectsp13/vectsp13__l47_vectsp13', redefinition_k3_rlvect_1)).
fof(d1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_algstr_0(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_algstr_0(X1),X2,X3)))), file('vectsp13/vectsp13__l47_vectsp13', d1_algstr_0)).
fof(redefinition_k4_binop_1, axiom, ![X1, X2, X3, X4]:(((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))=>k4_binop_1(X1,X2,X3,X4)=k1_binop_1(X2,X3,X4)), file('vectsp13/vectsp13__l47_vectsp13', redefinition_k4_binop_1)).
fof(dt_u1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>((v1_funct_1(u1_algstr_0(X1))&v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u1_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))))), file('vectsp13/vectsp13__l47_vectsp13', dt_u1_algstr_0)).
fof(dt_l1_vectsp_1, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(l1_vectsp_1(X2,X1)=>l2_algstr_0(X2))), file('vectsp13/vectsp13__l47_vectsp13', dt_l1_vectsp_1)).
fof(dt_k6_vectsp13, axiom, ![X1, X2]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>((v1_funct_1(k6_vectsp13(X1,X2))&v1_funct_2(k6_vectsp13(X1,X2),k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))&m1_subset_1(k6_vectsp13(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))))), file('vectsp13/vectsp13__l47_vectsp13', dt_k6_vectsp13)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('vectsp13/vectsp13__l47_vectsp13', dt_l2_algstr_0)).
fof(redefinition_m2_finseq_2, axiom, ![X1, X2]:(m1_finseq_2(X2,X1)=>![X3]:(m2_finseq_2(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('vectsp13/vectsp13__l47_vectsp13', redefinition_m2_finseq_2)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('vectsp13/vectsp13__l47_vectsp13', dt_l2_struct_0)).
fof(cc1_finseq_2, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,k4_finseq_2(X2,X1))=>v3_card_1(X3,X2))), file('vectsp13/vectsp13__l47_vectsp13', cc1_finseq_2)).
fof(dt_k4_finseq_2, axiom, ![X1, X2]:(v7_ordinal1(X1)=>m1_finseq_2(k4_finseq_2(X1,X2),X2)), file('vectsp13/vectsp13__l47_vectsp13', dt_k4_finseq_2)).
fof(d5_vectsp13, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))))=>(X3=k6_vectsp13(X1,X2)<=>![X4]:((v3_card_1(X4,X2)&m2_finseq_1(X4,u1_struct_0(X1)))=>![X5]:((v3_card_1(X5,X2)&m2_finseq_1(X5,u1_struct_0(X1)))=>k1_binop_1(X3,X4,X5)=k3_fvsum_1(X1,X4,X5))))))), file('vectsp13/vectsp13__l47_vectsp13', d5_vectsp13)).
fof(dt_m2_finseq_2, axiom, ![X1, X2]:(m1_finseq_2(X2,X1)=>![X3]:(m2_finseq_2(X3,X1,X2)=>m2_finseq_1(X3,X1))), file('vectsp13/vectsp13__l47_vectsp13', dt_m2_finseq_2)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('vectsp13/vectsp13__l47_vectsp13', fc2_struct_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('vectsp13/vectsp13__l47_vectsp13', dt_l6_algstr_0)).
fof(redefinition_k4_fvsum_1, axiom, ![X1, X2, X3, X4]:(((((v7_ordinal1(X1)&~(v2_struct_0(X2)))&l2_algstr_0(X2))&m1_subset_1(X3,k4_finseq_2(X1,u1_struct_0(X2))))&m1_subset_1(X4,k4_finseq_2(X1,u1_struct_0(X2))))=>k4_fvsum_1(X1,X2,X3,X4)=k3_fvsum_1(X2,X3,X4)), file('vectsp13/vectsp13__l47_vectsp13', redefinition_k4_fvsum_1)).
fof(c_0_20, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:((v7_vectsp_1(X3,X1)&l1_vectsp_1(X3,X1))=>(X3=k8_vectsp13(X1,X2)<=>(((u1_struct_0(X3)=k4_finseq_2(X2,u1_struct_0(X1))&u1_algstr_0(X3)=k6_vectsp13(X1,X2))&u2_struct_0(X3)=k5_finseq_2(u1_struct_0(X1),X2,k4_struct_0(X1)))&u1_vectsp_1(X1,X3)=k7_vectsp13(X1,X2)))))), inference(fof_simplification,[status(thm)],[d7_vectsp13])).
fof(c_0_21, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>(v7_vectsp_1(k8_vectsp13(X1,X2),X1)&l1_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[dt_k8_vectsp13])).
fof(c_0_22, negated_conjecture, ~(![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(m1_subset_1(X3,u1_struct_0(k8_vectsp13(X1,X2)))=>![X4]:(m1_subset_1(X4,u1_struct_0(k8_vectsp13(X1,X2)))=>![X5]:(m2_finseq_2(X5,u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))=>![X6]:(m2_finseq_2(X6,u1_struct_0(X1),k4_finseq_2(X2,u1_struct_0(X1)))=>((X3=X5&X4=X6)=>k4_fvsum_1(X2,X1,X5,X6)=k3_rlvect_1(k8_vectsp13(X1,X2),X3,X4))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l47_vectsp13])])).
fof(c_0_23, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>((((v13_algstr_0(k8_vectsp13(X1,X2))&v2_rlvect_1(k8_vectsp13(X1,X2)))&v3_rlvect_1(k8_vectsp13(X1,X2)))&v4_rlvect_1(k8_vectsp13(X1,X2)))&v7_vectsp_1(k8_vectsp13(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc4_vectsp13])).
fof(c_0_24, plain, ![X78, X79, X80]:(((((u1_struct_0(X80)=k4_finseq_2(X79,u1_struct_0(X78))|X80!=k8_vectsp13(X78,X79)|(~v7_vectsp_1(X80,X78)|~l1_vectsp_1(X80,X78))|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78)))&(u1_algstr_0(X80)=k6_vectsp13(X78,X79)|X80!=k8_vectsp13(X78,X79)|(~v7_vectsp_1(X80,X78)|~l1_vectsp_1(X80,X78))|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78))))&(u2_struct_0(X80)=k5_finseq_2(u1_struct_0(X78),X79,k4_struct_0(X78))|X80!=k8_vectsp13(X78,X79)|(~v7_vectsp_1(X80,X78)|~l1_vectsp_1(X80,X78))|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78))))&(u1_vectsp_1(X78,X80)=k7_vectsp13(X78,X79)|X80!=k8_vectsp13(X78,X79)|(~v7_vectsp_1(X80,X78)|~l1_vectsp_1(X80,X78))|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78))))&(u1_struct_0(X80)!=k4_finseq_2(X79,u1_struct_0(X78))|u1_algstr_0(X80)!=k6_vectsp13(X78,X79)|u2_struct_0(X80)!=k5_finseq_2(u1_struct_0(X78),X79,k4_struct_0(X78))|u1_vectsp_1(X78,X80)!=k7_vectsp13(X78,X79)|X80=k8_vectsp13(X78,X79)|(~v7_vectsp_1(X80,X78)|~l1_vectsp_1(X80,X78))|~v7_ordinal1(X79)|(v2_struct_0(X78)|~v13_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~l6_algstr_0(X78)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])).
fof(c_0_25, plain, ![X85, X86]:((v7_vectsp_1(k8_vectsp13(X85,X86),X85)|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~v3_group_1(X85)|~l6_algstr_0(X85)|~v7_ordinal1(X86)))&(l1_vectsp_1(k8_vectsp13(X85,X86),X85)|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~v3_group_1(X85)|~l6_algstr_0(X85)|~v7_ordinal1(X86)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
fof(c_0_26, negated_conjecture, (((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&l6_algstr_0(esk1_0))&(v7_ordinal1(esk2_0)&(m1_subset_1(esk3_0,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))&(m1_subset_1(esk4_0,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))&(m2_finseq_2(esk5_0,u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))&(m2_finseq_2(esk6_0,u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))&((esk3_0=esk5_0&esk4_0=esk6_0)&k4_fvsum_1(esk2_0,esk1_0,esk5_0,esk6_0)!=k3_rlvect_1(k8_vectsp13(esk1_0,esk2_0),esk3_0,esk4_0)))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_27, plain, ![X97, X98]:(((((v13_algstr_0(k8_vectsp13(X97,X98))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~v3_group_1(X97)|~l6_algstr_0(X97)|~v7_ordinal1(X98)))&(v2_rlvect_1(k8_vectsp13(X97,X98))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~v3_group_1(X97)|~l6_algstr_0(X97)|~v7_ordinal1(X98))))&(v3_rlvect_1(k8_vectsp13(X97,X98))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~v3_group_1(X97)|~l6_algstr_0(X97)|~v7_ordinal1(X98))))&(v4_rlvect_1(k8_vectsp13(X97,X98))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~v3_group_1(X97)|~l6_algstr_0(X97)|~v7_ordinal1(X98))))&(v7_vectsp_1(k8_vectsp13(X97,X98),X97)|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~v3_group_1(X97)|~l6_algstr_0(X97)|~v7_ordinal1(X98)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
cnf(c_0_28, plain, (u1_algstr_0(X1)=k6_vectsp13(X2,X3)|v2_struct_0(X2)|X1!=k8_vectsp13(X2,X3)|~v7_vectsp_1(X1,X2)|~l1_vectsp_1(X1,X2)|~v7_ordinal1(X3)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_29, plain, (v7_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_30, plain, (l1_vectsp_1(k8_vectsp13(X1,X2),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_31, negated_conjecture, (k4_fvsum_1(esk2_0,esk1_0,esk5_0,esk6_0)!=k3_rlvect_1(k8_vectsp13(esk1_0,esk2_0),esk3_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, negated_conjecture, (esk4_0=esk6_0), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_33, negated_conjecture, (esk3_0=esk5_0), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_34, plain, ![X99, X100, X101]:(~v2_rlvect_1(X99)|~l1_algstr_0(X99)|~m1_subset_1(X100,u1_struct_0(X99))|~m1_subset_1(X101,u1_struct_0(X99))|k3_rlvect_1(X99,X100,X101)=k1_algstr_0(X99,X100,X101)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k3_rlvect_1])])).
cnf(c_0_35, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, plain, (v2_rlvect_1(k8_vectsp13(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_38, plain, ![X68, X69, X70]:(~l1_algstr_0(X68)|(~m1_subset_1(X69,u1_struct_0(X68))|(~m1_subset_1(X70,u1_struct_0(X68))|k1_algstr_0(X68,X69,X70)=k4_binop_1(u1_struct_0(X68),u1_algstr_0(X68),X69,X70)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_algstr_0])])])).
fof(c_0_39, plain, ![X102, X103, X104, X105]:(~v1_funct_1(X103)|~v1_funct_2(X103,k2_zfmisc_1(X102,X102),X102)|~m1_subset_1(X103,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X102,X102),X102)))|~m1_subset_1(X104,X102)|~m1_subset_1(X105,X102)|k4_binop_1(X102,X103,X104,X105)=k1_binop_1(X103,X104,X105)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_binop_1])])).
fof(c_0_40, plain, ![X95]:(((v1_funct_1(u1_algstr_0(X95))|~l1_algstr_0(X95))&(v1_funct_2(u1_algstr_0(X95),k2_zfmisc_1(u1_struct_0(X95),u1_struct_0(X95)),u1_struct_0(X95))|~l1_algstr_0(X95)))&(m1_subset_1(u1_algstr_0(X95),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X95),u1_struct_0(X95)),u1_struct_0(X95))))|~l1_algstr_0(X95))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_algstr_0])])])).
cnf(c_0_41, plain, (u1_algstr_0(k8_vectsp13(X1,X2))=k6_vectsp13(X1,X2)|v2_struct_0(X1)|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_28]), c_0_29]), c_0_30])).
cnf(c_0_42, negated_conjecture, (k3_rlvect_1(k8_vectsp13(esk1_0,esk2_0),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32]), c_0_33])).
cnf(c_0_43, plain, (k3_rlvect_1(X1,X2,X3)=k1_algstr_0(X1,X2,X3)|~v2_rlvect_1(X1)|~l1_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_44, negated_conjecture, (m1_subset_1(esk6_0,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))), inference(rw,[status(thm)],[c_0_35, c_0_32])).
cnf(c_0_45, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_46, negated_conjecture, (v2_rlvect_1(k8_vectsp13(X1,esk2_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_47, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_48, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_49, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_50, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_51, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_52, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_53, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_54, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_55, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_56, plain, (k1_algstr_0(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_algstr_0(X1),X2,X3)|~l1_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_57, plain, (k4_binop_1(X2,X1,X3,X4)=k1_binop_1(X1,X3,X4)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X2,X2),X2)))|~m1_subset_1(X3,X2)|~m1_subset_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_58, plain, (m1_subset_1(u1_algstr_0(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_59, plain, (v1_funct_1(u1_algstr_0(X1))|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_60, plain, (v1_funct_2(u1_algstr_0(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_61, negated_conjecture, (u1_algstr_0(k8_vectsp13(X1,esk2_0))=k6_vectsp13(X1,esk2_0)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_41, c_0_37])).
cnf(c_0_62, negated_conjecture, (k1_algstr_0(k8_vectsp13(esk1_0,esk2_0),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|~l1_algstr_0(k8_vectsp13(esk1_0,esk2_0))|~v2_rlvect_1(k8_vectsp13(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45])])).
cnf(c_0_63, negated_conjecture, (v2_rlvect_1(k8_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_64, plain, (k1_binop_1(u1_algstr_0(X1),X2,X3)=k1_algstr_0(X1,X2,X3)|~l1_algstr_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), c_0_59]), c_0_60])).
cnf(c_0_65, negated_conjecture, (u1_algstr_0(k8_vectsp13(esk1_0,esk2_0))=k6_vectsp13(esk1_0,esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_66, negated_conjecture, (l1_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_37])).
cnf(c_0_67, negated_conjecture, (v7_vectsp_1(k8_vectsp13(X1,esk2_0),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_37])).
fof(c_0_68, plain, ![X87, X88]:(~l1_struct_0(X87)|(~l1_vectsp_1(X88,X87)|l2_algstr_0(X88))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_1])])])).
fof(c_0_69, plain, ![X1, X2]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&v7_ordinal1(X2))=>((v1_funct_1(k6_vectsp13(X1,X2))&v1_funct_2(k6_vectsp13(X1,X2),k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))&m1_subset_1(k6_vectsp13(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))))), inference(fof_simplification,[status(thm)],[dt_k6_vectsp13])).
cnf(c_0_70, negated_conjecture, (k1_algstr_0(k8_vectsp13(esk1_0,esk2_0),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|~l1_algstr_0(k8_vectsp13(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
cnf(c_0_71, negated_conjecture, (k1_algstr_0(k8_vectsp13(esk1_0,esk2_0),X1,X2)=k1_binop_1(k6_vectsp13(esk1_0,esk2_0),X1,X2)|~l1_algstr_0(k8_vectsp13(esk1_0,esk2_0))|~m1_subset_1(X2,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))|~m1_subset_1(X1,u1_struct_0(k8_vectsp13(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_72, negated_conjecture, (k6_vectsp13(esk1_0,esk2_0)=k6_vectsp13(X1,X2)|v2_struct_0(X1)|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(X1,X2)|~l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v7_vectsp_1(k8_vectsp13(esk1_0,esk2_0),X1)|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_28, c_0_65])).
cnf(c_0_73, negated_conjecture, (l1_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_74, negated_conjecture, (v7_vectsp_1(k8_vectsp13(esk1_0,esk2_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
fof(c_0_75, plain, ![X89]:((l2_struct_0(X89)|~l2_algstr_0(X89))&(l1_algstr_0(X89)|~l2_algstr_0(X89))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
cnf(c_0_76, plain, (l2_algstr_0(X2)|~l1_struct_0(X1)|~l1_vectsp_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
fof(c_0_77, plain, ![X83, X84]:(((v1_funct_1(k6_vectsp13(X83,X84))|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84)))&(v1_funct_2(k6_vectsp13(X83,X84),k2_zfmisc_1(k4_finseq_2(X84,u1_struct_0(X83)),k4_finseq_2(X84,u1_struct_0(X83))),k4_finseq_2(X84,u1_struct_0(X83)))|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84))))&(m1_subset_1(k6_vectsp13(X83,X84),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X84,u1_struct_0(X83)),k4_finseq_2(X84,u1_struct_0(X83))),k4_finseq_2(X84,u1_struct_0(X83)))))|(v2_struct_0(X83)|~v13_algstr_0(X83)|~v2_rlvect_1(X83)|~v3_rlvect_1(X83)|~v4_rlvect_1(X83)|~v4_vectsp_1(X83)|~v5_vectsp_1(X83)|~v3_group_1(X83)|~l6_algstr_0(X83)|~v7_ordinal1(X84)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])).
fof(c_0_78, plain, ![X110, X111, X112]:((~m2_finseq_2(X112,X110,X111)|m1_subset_1(X112,X111)|~m1_finseq_2(X111,X110))&(~m1_subset_1(X112,X111)|m2_finseq_2(X112,X110,X111)|~m1_finseq_2(X111,X110))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_2])])])])).
cnf(c_0_79, negated_conjecture, (m2_finseq_2(esk5_0,u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_80, negated_conjecture, (k1_binop_1(k6_vectsp13(esk1_0,esk2_0),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|~l1_algstr_0(k8_vectsp13(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_44]), c_0_45])])).
cnf(c_0_81, negated_conjecture, (k6_vectsp13(esk1_0,esk2_0)=k6_vectsp13(esk1_0,X1)|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_82, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_83, negated_conjecture, (l2_algstr_0(k8_vectsp13(esk1_0,esk2_0))|~l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_76, c_0_73])).
fof(c_0_84, plain, ![X90]:(~l2_struct_0(X90)|l1_struct_0(X90)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
cnf(c_0_85, plain, (v1_funct_2(k6_vectsp13(X1,X2),k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1)))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_86, plain, ![X1, X2]:((~v1_xboole_0(X1)&v7_ordinal1(X2))=>![X3]:(m1_subset_1(X3,k4_finseq_2(X2,X1))=>v3_card_1(X3,X2))), inference(fof_simplification,[status(thm)],[cc1_finseq_2])).
cnf(c_0_87, plain, (m1_subset_1(X1,X3)|~m2_finseq_2(X1,X2,X3)|~m1_finseq_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_88, negated_conjecture, (m2_finseq_2(esk3_0,u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(rw,[status(thm)],[c_0_79, c_0_33])).
fof(c_0_89, plain, ![X81, X82]:(~v7_ordinal1(X81)|m1_finseq_2(k4_finseq_2(X81,X82),X82)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_finseq_2])])).
cnf(c_0_90, negated_conjecture, (m2_finseq_2(esk6_0,u1_struct_0(esk1_0),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_91, negated_conjecture, (k1_binop_1(k6_vectsp13(esk1_0,X1),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~l1_algstr_0(k8_vectsp13(esk1_0,esk2_0))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_92, negated_conjecture, (l1_algstr_0(k8_vectsp13(esk1_0,esk2_0))|~l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_93, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_94, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_95, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1))))))=>(X3=k6_vectsp13(X1,X2)<=>![X4]:((v3_card_1(X4,X2)&m2_finseq_1(X4,u1_struct_0(X1)))=>![X5]:((v3_card_1(X5,X2)&m2_finseq_1(X5,u1_struct_0(X1)))=>k1_binop_1(X3,X4,X5)=k3_fvsum_1(X1,X4,X5))))))), inference(fof_simplification,[status(thm)],[d5_vectsp13])).
cnf(c_0_96, plain, (m1_subset_1(k6_vectsp13(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X2,u1_struct_0(X1)),k4_finseq_2(X2,u1_struct_0(X1))),k4_finseq_2(X2,u1_struct_0(X1)))))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_97, negated_conjecture, (v1_funct_2(k6_vectsp13(esk1_0,X1),k2_zfmisc_1(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),k4_finseq_2(esk2_0,u1_struct_0(esk1_0))),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_81]), c_0_37]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_98, plain, (v1_funct_1(k6_vectsp13(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_99, plain, ![X92, X93, X94]:(~m1_finseq_2(X93,X92)|(~m2_finseq_2(X94,X92,X93)|m2_finseq_1(X94,X92))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_2])])])).
fof(c_0_100, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
fof(c_0_101, plain, ![X65, X66, X67]:(v1_xboole_0(X65)|~v7_ordinal1(X66)|(~m1_subset_1(X67,k4_finseq_2(X66,X65))|v3_card_1(X67,X66))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])).
cnf(c_0_102, negated_conjecture, (m1_subset_1(esk3_0,k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))|~m1_finseq_2(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
cnf(c_0_103, plain, (m1_finseq_2(k4_finseq_2(X1,X2),X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_104, negated_conjecture, (m1_subset_1(esk6_0,k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))|~m1_finseq_2(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_87, c_0_90])).
cnf(c_0_105, negated_conjecture, (k1_binop_1(k6_vectsp13(esk1_0,X1),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~l1_struct_0(esk1_0)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_106, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
fof(c_0_107, plain, ![X91]:((l2_algstr_0(X91)|~l6_algstr_0(X91))&(l5_algstr_0(X91)|~l6_algstr_0(X91))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_108, plain, ![X71, X72, X73, X74, X75]:((X73!=k6_vectsp13(X71,X72)|(~v3_card_1(X74,X72)|~m2_finseq_1(X74,u1_struct_0(X71))|(~v3_card_1(X75,X72)|~m2_finseq_1(X75,u1_struct_0(X71))|k1_binop_1(X73,X74,X75)=k3_fvsum_1(X71,X74,X75)))|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71)))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71))))))|~v7_ordinal1(X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71)))&(((v3_card_1(esk7_3(X71,X72,X73),X72)|X73=k6_vectsp13(X71,X72)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71)))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71))))))|~v7_ordinal1(X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71)))&(m2_finseq_1(esk7_3(X71,X72,X73),u1_struct_0(X71))|X73=k6_vectsp13(X71,X72)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71)))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71))))))|~v7_ordinal1(X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71))))&(((v3_card_1(esk8_3(X71,X72,X73),X72)|X73=k6_vectsp13(X71,X72)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71)))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71))))))|~v7_ordinal1(X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71)))&(m2_finseq_1(esk8_3(X71,X72,X73),u1_struct_0(X71))|X73=k6_vectsp13(X71,X72)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71)))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71))))))|~v7_ordinal1(X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71))))&(k1_binop_1(X73,esk7_3(X71,X72,X73),esk8_3(X71,X72,X73))!=k3_fvsum_1(X71,esk7_3(X71,X72,X73),esk8_3(X71,X72,X73))|X73=k6_vectsp13(X71,X72)|(~v1_funct_1(X73)|~v1_funct_2(X73,k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71)))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X72,u1_struct_0(X71)),k4_finseq_2(X72,u1_struct_0(X71))),k4_finseq_2(X72,u1_struct_0(X71))))))|~v7_ordinal1(X72)|(v2_struct_0(X71)|~v13_algstr_0(X71)|~v2_rlvect_1(X71)|~v3_rlvect_1(X71)|~v4_rlvect_1(X71)|~v4_vectsp_1(X71)|~v5_vectsp_1(X71)|~v3_group_1(X71)|~l6_algstr_0(X71)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])])])).
cnf(c_0_109, negated_conjecture, (m1_subset_1(k6_vectsp13(X1,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(esk2_0,u1_struct_0(X1)),k4_finseq_2(esk2_0,u1_struct_0(X1))),k4_finseq_2(esk2_0,u1_struct_0(X1)))))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_96, c_0_37])).
cnf(c_0_110, negated_conjecture, (v1_funct_2(k6_vectsp13(esk1_0,esk2_0),k2_zfmisc_1(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),k4_finseq_2(esk2_0,u1_struct_0(esk1_0))),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_97, c_0_81])).
cnf(c_0_111, negated_conjecture, (v1_funct_1(k6_vectsp13(X1,esk2_0))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_98, c_0_37])).
cnf(c_0_112, plain, (m2_finseq_1(X3,X2)|~m1_finseq_2(X1,X2)|~m2_finseq_2(X3,X2,X1)), inference(split_conjunct,[status(thm)],[c_0_99])).
fof(c_0_113, plain, ![X1, X2, X3, X4]:(((((v7_ordinal1(X1)&~v2_struct_0(X2))&l2_algstr_0(X2))&m1_subset_1(X3,k4_finseq_2(X1,u1_struct_0(X2))))&m1_subset_1(X4,k4_finseq_2(X1,u1_struct_0(X2))))=>k4_fvsum_1(X1,X2,X3,X4)=k3_fvsum_1(X2,X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k4_fvsum_1])).
fof(c_0_114, plain, ![X96]:(v2_struct_0(X96)|~l1_struct_0(X96)|~v1_xboole_0(u1_struct_0(X96))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])).
cnf(c_0_115, plain, (v1_xboole_0(X1)|v3_card_1(X3,X2)|~v7_ordinal1(X2)|~m1_subset_1(X3,k4_finseq_2(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_116, negated_conjecture, (m1_subset_1(esk3_0,k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_37])])).
cnf(c_0_117, negated_conjecture, (m1_subset_1(esk6_0,k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_103]), c_0_37])])).
cnf(c_0_118, negated_conjecture, (k1_binop_1(k6_vectsp13(esk1_0,X1),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~l2_algstr_0(esk1_0)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_119, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_120, plain, (k1_binop_1(X1,X4,X5)=k3_fvsum_1(X2,X4,X5)|v2_struct_0(X2)|X1!=k6_vectsp13(X2,X3)|~v3_card_1(X4,X3)|~m2_finseq_1(X4,u1_struct_0(X2))|~v3_card_1(X5,X3)|~m2_finseq_1(X5,u1_struct_0(X2))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k4_finseq_2(X3,u1_struct_0(X2)),k4_finseq_2(X3,u1_struct_0(X2))),k4_finseq_2(X3,u1_struct_0(X2)))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(X3,u1_struct_0(X2)),k4_finseq_2(X3,u1_struct_0(X2))),k4_finseq_2(X3,u1_struct_0(X2)))))|~v7_ordinal1(X3)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_121, negated_conjecture, (m1_subset_1(k6_vectsp13(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),k4_finseq_2(esk2_0,u1_struct_0(esk1_0))),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_122, negated_conjecture, (v1_funct_2(k6_vectsp13(esk1_0,esk2_0),k2_zfmisc_1(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),k4_finseq_2(esk2_0,u1_struct_0(esk1_0))),k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_110]), c_0_37])])).
cnf(c_0_123, negated_conjecture, (v1_funct_1(k6_vectsp13(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_124, negated_conjecture, (m2_finseq_1(esk6_0,u1_struct_0(esk1_0))|~m1_finseq_2(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_112, c_0_90])).
cnf(c_0_125, negated_conjecture, (m2_finseq_1(esk3_0,u1_struct_0(esk1_0))|~m1_finseq_2(k4_finseq_2(esk2_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_112, c_0_88])).
fof(c_0_126, plain, ![X106, X107, X108, X109]:(~v7_ordinal1(X106)|v2_struct_0(X107)|~l2_algstr_0(X107)|~m1_subset_1(X108,k4_finseq_2(X106,u1_struct_0(X107)))|~m1_subset_1(X109,k4_finseq_2(X106,u1_struct_0(X107)))|k4_fvsum_1(X106,X107,X108,X109)=k3_fvsum_1(X107,X108,X109)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])).
cnf(c_0_127, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_128, negated_conjecture, (v3_card_1(esk3_0,esk2_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_116]), c_0_37])])).
cnf(c_0_129, negated_conjecture, (v3_card_1(esk6_0,esk2_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_117]), c_0_37])])).
cnf(c_0_130, negated_conjecture, (k1_binop_1(k6_vectsp13(esk1_0,X1),esk3_0,esk6_0)!=k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)|k8_vectsp13(esk1_0,esk2_0)!=k8_vectsp13(esk1_0,X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_47])])).
cnf(c_0_131, negated_conjecture, (k1_binop_1(k6_vectsp13(esk1_0,esk2_0),X1,X2)=k3_fvsum_1(esk1_0,X1,X2)|~m2_finseq_1(X2,u1_struct_0(esk1_0))|~m2_finseq_1(X1,u1_struct_0(esk1_0))|~v3_card_1(X2,esk2_0)|~v3_card_1(X1,esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_122]), c_0_123]), c_0_37]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_132, negated_conjecture, (m2_finseq_1(esk6_0,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_103]), c_0_37])])).
cnf(c_0_133, negated_conjecture, (m2_finseq_1(esk3_0,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_103]), c_0_37])])).
cnf(c_0_134, plain, (v2_struct_0(X2)|k4_fvsum_1(X1,X2,X3,X4)=k3_fvsum_1(X2,X3,X4)|~v7_ordinal1(X1)|~l2_algstr_0(X2)|~m1_subset_1(X3,k4_finseq_2(X1,u1_struct_0(X2)))|~m1_subset_1(X4,k4_finseq_2(X1,u1_struct_0(X2)))), inference(split_conjunct,[status(thm)],[c_0_126])).
cnf(c_0_135, negated_conjecture, (v3_card_1(esk3_0,esk2_0)|~l1_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_55])).
cnf(c_0_136, negated_conjecture, (v3_card_1(esk6_0,esk2_0)|~l1_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_129]), c_0_55])).
cnf(c_0_137, negated_conjecture, (k4_fvsum_1(esk2_0,esk1_0,esk3_0,esk6_0)!=k3_fvsum_1(esk1_0,esk3_0,esk6_0)|~v3_card_1(esk6_0,esk2_0)|~v3_card_1(esk3_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_37]), c_0_132]), c_0_133])])).
cnf(c_0_138, negated_conjecture, (k4_fvsum_1(esk2_0,esk1_0,X1,esk6_0)=k3_fvsum_1(esk1_0,X1,esk6_0)|~l2_algstr_0(esk1_0)|~m1_subset_1(X1,k4_finseq_2(esk2_0,u1_struct_0(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_117]), c_0_37])]), c_0_55])).
cnf(c_0_139, negated_conjecture, (v3_card_1(esk3_0,esk2_0)|~l2_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_135, c_0_106])).
cnf(c_0_140, negated_conjecture, (v3_card_1(esk6_0,esk2_0)|~l2_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_136, c_0_106])).
cnf(c_0_141, negated_conjecture, (~l2_algstr_0(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_138]), c_0_116])]), c_0_139]), c_0_140])).
cnf(c_0_142, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_119]), c_0_47])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 143
# Proof object clause steps            : 94
# Proof object formula steps           : 49
# Proof object conjectures             : 69
# Proof object clause conjectures      : 66
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 42
# Proof object initial formulas used   : 20
# Proof object generating inferences   : 48
# Proof object simplifying inferences  : 137
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 20
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 57
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 57
# Processed clauses                    : 230
# ...of these trivial                  : 0
# ...subsumed                          : 44
# ...remaining for further processing  : 186
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 5
# Generated clauses                    : 195
# ...of the previous two non-trivial   : 181
# Contextual simplify-reflections      : 15
# Paramodulations                      : 188
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 7
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 120
#    Positive orientable unit clauses  : 29
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 88
# Current number of unprocessed clauses: 63
# ...number of literals in the above   : 421
# Current number of archived formulas  : 0
# Current number of archived clauses   : 66
# Clause-clause subsumption calls (NU) : 11149
# Rec. Clause-clause subsumption calls : 340
# Non-unit clause-clause subsumptions  : 63
# Unit Clause-clause subsumption calls : 87
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16414

# -------------------------------------------------
# User time                : 0.036 s
# System time              : 0.002 s
# Total time               : 0.038 s
# Maximum resident set size: 3480 pages
